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Finding the Fourth Proportional to 497.15, 686.05 and 287.33

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Solution

The fourth proportional to 497.15, 686.05 and 287.33 is: 396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.15 : 686.05 = 287.33 : x
  2. Step 2: Convert to fraction form
    497.15/686.05 = 287.33/x
  3. Step 3: Cross multiply
    497.15x = 686.05 × 287.33
  4. Step 4: Simplify right side
    497.15x = 197,123.88
  5. Step 5: Solve for x
    x = 197,123.88/497.15
  6. Step 6: Final answer
    x = 396.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.